The present invention relates to a method of treating, preventing, or ameliorating a disease or condition associated with or mediated by B1 activity that involves administering a composition of matter containing bradykinin B1 receptor antagonist peptides conjugated to a multivalent vehicle, including peptides conjugated to multivalent PEG. The method can be used therapeutically or prophylactically against diseases or conditions, such as inflammation or pain, linked to the bradykinin B1 receptor.